Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 765/43,632/72,610/734
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 765,632,610
Greatest Common Factor of Numerators i.e. GCF of 765,632,610 is 1 .
LCM of Denominators means LCM of 43,72,734 as per the given fractions.
LCM of 43,72,734 is 1136232 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 765,632,610
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Greatest Common Factor
We found the factors 765,632,610 . The biggest common factor number is the GCF number.
So the greatest common factor 765,632,610 is 1.
Lets's calculate LCM of 43,72,734
2 | 43, 72, 734 |
43, 36, 367 |
∴ So the LCM of the given numbers is 2 x 43 x 36 x 367 = 1136232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1136232
Therefore, the GCF of Fractions 765/43,632/72,610/734 is 1/1136232
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 43,72,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,72,734) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(43,72,734) x common factors =1 x 2 = 2
LCM(43,72,734) = ( 43 × 72 × 734 ) / 2
LCM(43,72,734) = 2272464 / 2
LCM(43,72,734) = 1136232
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 765/43, 632/72, 610/734?
Answer: GCF of Numerators as per given numbers 765/43, 632/72, 610/734 is
GCF of Numerators i.e. for 765,632,610 is 1
LCM of denominators i.e. for 43,72,734 is 1136232.
Thus, GCF of Fractions is 1/1136232.Finally, GCF of Fractions for 765/43, 632/72, 610/734 is 1/1136232.